Name ____________________________ Date ___________________ Core ______ Proportional Relationships and Reasoning Quiz Circle the correct answer. 1 8. Which set of ratios is equivalent to 2:3? ; b) ;1 c) ; d) ; 9. Susan saw 3 T-shirts for $12.75 in Walmart. She wanted to buy one T-shirt, so she subtracted 2 from 3 as well as $2 from $12.75. She is wrong. Tell her what she should have done and show your work. What is the correct amount for one T-shirt? How does this relate to unit rate? 10. Walmart Lemonade or K-Mart Lemonade 1.5 liters for 75 cents 2.75 liters for $1.40 Which store is the best buy per unit and why? Show your work to get full credit. Write your final response to Question No. 3 below in complete sentences with correct grammar and punctuation. _______________________________________________________________________________________________ _______________________________________________________________________________________________ _______________________________________________________________________________________________ _______________________________________________________________________________________________ _______________________________________________________________________________________________ _______________________________________________________________________________________________ 2 11. Circle the table letter below that represents a proportional relationship to this original table: Cups of flour Number of cookies 0.5 1 dozen 1.5 dozen 3 A Cups of flour 1 Number of cookies 6 dozen Cups of flour B 2 dozen 1 1.5 dozen 0.5 dozen 1.5 C Cups of flour 0.5 1 dozen 3 dozen Number of cookies 1 dozen D 1.5 3 dozen Cups of flour Number of cookies 1.5 1.5 dozen 2 Number of cookies 3 dozen 0.5 dozen 5 dozen 4 8 dozen 12. Mary made 1/8 of a batch of cookies in 1/10 of an hour. How much time will she need to make 1 full batch of cookies? Use both the 2-bar and the fraction methods to solve this problem to get full credit. 3 13. Solve the 7 items listed in the table below. Show all your work to get full credit. For every 3 miles that Johnny walks, he drinks 1.5 quart of water. Let “X’ be the distance walked and “Y” the amount of water. You are to: 1. 2. 3. 4. 5. 6. 7. Completely label the graph, and Complete the X-Y Table with at least 5 “X” and corresponding “Y” values, and Graph the X and Y values, and Find the Rate of Change of the line using the Change in Y Change in X formula, and Find the Slope of the line using the Rise Run formula, and Find the Constant of Proportionality, and Write the equation for the line in the box to the right EXTRA CREDIT List all of 7 steps to solve word problems in the correct order below: 1. ________________________________________________________________________________ 2. ________________________________________________________________________________ 3. ________________________________________________________________________________ 4. ________________________________________________________________________________ 5. ________________________________________________________________________________ 6. ________________________________________________________________________________ 7. ________________________________________________________________________________ 4
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